On the structure of the h-fold sumsets
Autor: | Quan-Hui Yang, Jun-Yu Zhou |
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Rok vydání: | 2021 |
Předmět: | |
Zdroj: | Comptes Rendus. Mathématique. 359:493-500 |
ISSN: | 1778-3569 |
Popis: | Let~$A$ be a set of nonnegative integers. Let~$(h A)^{(t)}$ be the set of all integers in the sumset~$hA$ that have at least~$t$ representations as a sum of~$h$ elements of~$A$. In this paper, we prove that, if~$k \geq 2$, and~$A=\left\{a_{0}, a_{1}, \ldots, a_{k}\right\}$ is a finite set of integers such that~$0=a_{0} |
Databáze: | OpenAIRE |
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